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Simplifying 2b + -9 + 15(b + 2) + 15 + b = 90 Reorder the terms: 2b + -9 + 15(2 + b) + 15 + b = 90 2b + -9 + (2 * 15 + b * 15) + 15 + b = 90 2b + -9 + (30 + 15b) + 15 + b = 90 Reorder the terms: -9 + 30 + 15 + 2b + 15b + b = 90 Combine like terms: -9 + 30 = 21 21 + 15 + 2b + 15b + b = 90 Combine like terms: 21 + 15 = 36 36 + 2b + 15b + b = 90 Combine like terms: 2b + 15b = 17b 36 + 17b + b = 90 Combine like terms: 17b + b = 18b 36 + 18b = 90 Solving 36 + 18b = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 18b = 90 + -36 Combine like terms: 36 + -36 = 0 0 + 18b = 90 + -36 18b = 90 + -36 Combine like terms: 90 + -36 = 54 18b = 54 Divide each side by '18'. b = 3 Simplifying b = 3
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